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A course on large deviations with an...

Rassoul-Agha, Firas.

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A course on large deviations with an introduction to Gibbs measures /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A course on large deviations with an introduction to Gibbs measures // Firas Rassoul-Agha, Timo Sepp{uml}al{uml}ainen.
作者:	Rassoul-Agha, Firas.
其他作者:	Sepp{uml}al{uml}ainen, Timo O.
面頁冊數:	1 online resource (xiv, 318 pages)
標題:	Large deviations. -
電子資源:	http://www.ams.org/gsm/162
電子資源:	https://doi.org/10.1090/gsm/162
ISBN:	9781470422226 (online)

A course on large deviations with an introduction to Gibbs measures /
Rassoul-Agha, Firas.

A course on large deviations with an introduction to Gibbs measures /[electronic resource] Firas Rassoul-Agha, Timo Sepp{uml}al{uml}ainen. - 1 online resource (xiv, 318 pages) - Graduate Studies in Mathematics, v. 162.

Includes bibliographical references (pages 299-303) and indexes.

Chapter 1. Introductory discussion

Access is restricted to licensed institutions

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015

Mode of access : World Wide Web

ISBN: 9781470422226 (online)Subjects--Topical Terms:

646454
Large deviations.

LC Class. No.: QA273.67 / .R375 2015

Dewey Class. No.: 519.2

A course on large deviations with an introduction to Gibbs measures /
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504 $a Includes bibliographical references (pages 299-303) and indexes.
505 0 0 $t Chapter 1. Introductory discussion $t Chapter 2. The large deviation principle $t Chapter 3. Large deviations and asymptotics of integrals $t Chapter 4. Convex analysis in large deviation theory $t Chapter 5. Relative entropy and large deviations for empirical measures $t Chapter 6. Process level large deviations for i.i.d. fields $t Chapter 7. Formalism for classical lattice systems $t Chapter 8. Large deviations and equilibrium statistical mechanics $t Chapter 9. Phase transition in the Ising model $t Chapter 10. Percolation approach to phase transition $t Chapter 11. Further asymptotics for i.i.d. random variables $t Chapter 12. Large deviations through the limiting generating function $t Chapter 13. Large deviations for Markov chains $t Chapter 14. Convexity criterion for large deviations $t Chapter 15. Nonstationary independent variables $t Chapter 16. Random walk in a dynamical random environment $t Appendix A. Analysis $t Appendix B. Probability $t Appendix C. Inequalities from statistical mechanics $t Appendix D. Nonnegative matrices
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588 $a Description based on print version record.
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650 0 $a Probabilities. $3 518889
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650 7 $a Probability theory and stochastic processes -- Markov processes -- Markov chains (discrete-time Markov processes on discrete state spaces). $2 msc $3 3775464
650 7 $a Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory. $2 msc $3 3775543
650 7 $a Probability theory and stochastic processes -- Special processes -- Processes in random environments. $2 msc $3 3775544
650 7 $a Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Classical equilibrium statistical mechanics (general). $2 msc $3 3775545
650 7 $a Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs. $2 msc $3 3775546
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856 4 $3 Contents $u http://www.ams.org/gsm/162
856 4 $3 Contents $u https://doi.org/10.1090/gsm/162